A manufacturer knows that their items have a lengths that are skewed right, with a mean of 8.6 inches, and standard deviation of 2.3 inches. If 40 items are chosen at random, what is the probability that their mean length is greater than 7.8 inches? (Round answer to four decimal places)
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The standard error of the mean is the standard deviation divided by the square root of the sample size. In this case, the standard error of the mean is 2.3/sqrt(40) = 0.363. Show more…
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